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538309106973 = 321144312274189
BaseRepresentation
bin1111101010101011011…
…10010001110100011101
31220110110200112222120100
413311111232101310131
532304424112410343
61051143520211313
753614541625021
oct7652556216435
91813420488510
10538309106973
11198328503590
12883b2769b39
133b9baac2001
141c0a8dda381
15e008e649d3
hex7d55b91d1d

538309106973 has 24 divisors (see below), whose sum is σ = 850159496160. Its totient is φ = 325511465760.

The previous prime is 538309106939. The next prime is 538309106977. The reversal of 538309106973 is 379601903835.

538309106973 is a `hidden beast` number, since 538 + 3 + 0 + 9 + 10 + 6 + 97 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-538309106973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538309106977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6093238 + ... + 6180951.

It is an arithmetic number, because the mean of its divisors is an integer number (35423312340).

Almost surely, 2538309106973 is an apocalyptic number.

It is an amenable number.

538309106973 is a deficient number, since it is larger than the sum of its proper divisors (311850389187).

538309106973 is a wasteful number, since it uses less digits than its factorization.

538309106973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274649 (or 12274646 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 538309106973 in words is "five hundred thirty-eight billion, three hundred nine million, one hundred six thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 33 99 443 1329 3987 4873 14619 43857 12274189 36822567 110467701 135016079 405048237 1215144711 5437465727 16312397181 48937191543 59812122997 179436368991 538309106973